{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:J45N2HRTFPZESS4RS6NK7O2OFE","short_pith_number":"pith:J45N2HRT","canonical_record":{"source":{"id":"1305.4802","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-05-21T12:49:28Z","cross_cats_sorted":[],"title_canon_sha256":"d4350e9f3cddc190bcef9d89040185b415f1b35535eca96799872f1119369ec8","abstract_canon_sha256":"55c69fa71971f072c5025c1db4ededeaac96185ac05244c514019bd80799c348"},"schema_version":"1.0"},"canonical_sha256":"4f3add1e332bf2494b91979aafbb4e291596fd9d2a3888e97d9a10756d0e16fe","source":{"kind":"arxiv","id":"1305.4802","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4802","created_at":"2026-05-18T01:49:48Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4802v1","created_at":"2026-05-18T01:49:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4802","created_at":"2026-05-18T01:49:48Z"},{"alias_kind":"pith_short_12","alias_value":"J45N2HRTFPZE","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"J45N2HRTFPZESS4R","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"J45N2HRT","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:J45N2HRTFPZESS4RS6NK7O2OFE","target":"record","payload":{"canonical_record":{"source":{"id":"1305.4802","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-05-21T12:49:28Z","cross_cats_sorted":[],"title_canon_sha256":"d4350e9f3cddc190bcef9d89040185b415f1b35535eca96799872f1119369ec8","abstract_canon_sha256":"55c69fa71971f072c5025c1db4ededeaac96185ac05244c514019bd80799c348"},"schema_version":"1.0"},"canonical_sha256":"4f3add1e332bf2494b91979aafbb4e291596fd9d2a3888e97d9a10756d0e16fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:48.417644Z","signature_b64":"Q8S94t0z/sSnMeOyZVPG1OAUfoaEq5R4i29KoeCx3n0YqljQqqf4tP5sK/t3NfhQLNwG1aW+yH4n6ui18oaJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f3add1e332bf2494b91979aafbb4e291596fd9d2a3888e97d9a10756d0e16fe","last_reissued_at":"2026-05-18T01:49:48.417131Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:48.417131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.4802","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XhMyrW64T9zPcJyeEUWrmSXmiygzxHaLWoem15pJf1Z7nsO8ZFeoUsuORefwWu6mh/F2BEcTMKkcO1pipL86Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:55:25.595997Z"},"content_sha256":"53e26ef9dfe001e30c76131dbdb11a2ae29625c0fa6e23d3d30e37c94636ed73","schema_version":"1.0","event_id":"sha256:53e26ef9dfe001e30c76131dbdb11a2ae29625c0fa6e23d3d30e37c94636ed73"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:J45N2HRTFPZESS4RS6NK7O2OFE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The tensor hypercontracted parametric reduced density matrix algorithm: coupled-cluster accuracy with O(r^4) scaling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Christine Schwerdtfeger, David Mazziotti, Helen van Aggelen, Neil Shenvi, Weitao Yang, Yang Yang","submitted_at":"2013-05-21T12:49:28Z","abstract_excerpt":"Tensor hypercontraction is a method that allows the representation of a high-rank tensor as a product of lower-rank tensors. In this paper, we show how tensor hypercontraction can be applied to both the electron repulsion integral (ERI) tensor and the two-particle excitation amplitudes used in the parametric reduced density matrix (pRDM) algorithm. Because only O(r) auxiliary functions are needed in both of these approximations, our overall algorithm can be shown to scale as O(r4), where r is the number of single-particle basis functions. We apply our algorithm to several small molecules, hydr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4802","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bbV7HSohGDFUM3pQZ/IEgHgFAXrvDsPgpz+07Vg+OP1UQ3n6dfhv+mTtjnrLbahj08rDYLDp0VIF5ygfroyTDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T00:55:25.596365Z"},"content_sha256":"00e366b1185e3fe0a7fa7f4fe79f2e3c6ca7d469e070f07413f002f85055effa","schema_version":"1.0","event_id":"sha256:00e366b1185e3fe0a7fa7f4fe79f2e3c6ca7d469e070f07413f002f85055effa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J45N2HRTFPZESS4RS6NK7O2OFE/bundle.json","state_url":"https://pith.science/pith/J45N2HRTFPZESS4RS6NK7O2OFE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J45N2HRTFPZESS4RS6NK7O2OFE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T00:55:25Z","links":{"resolver":"https://pith.science/pith/J45N2HRTFPZESS4RS6NK7O2OFE","bundle":"https://pith.science/pith/J45N2HRTFPZESS4RS6NK7O2OFE/bundle.json","state":"https://pith.science/pith/J45N2HRTFPZESS4RS6NK7O2OFE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J45N2HRTFPZESS4RS6NK7O2OFE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:J45N2HRTFPZESS4RS6NK7O2OFE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"55c69fa71971f072c5025c1db4ededeaac96185ac05244c514019bd80799c348","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-05-21T12:49:28Z","title_canon_sha256":"d4350e9f3cddc190bcef9d89040185b415f1b35535eca96799872f1119369ec8"},"schema_version":"1.0","source":{"id":"1305.4802","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4802","created_at":"2026-05-18T01:49:48Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4802v1","created_at":"2026-05-18T01:49:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4802","created_at":"2026-05-18T01:49:48Z"},{"alias_kind":"pith_short_12","alias_value":"J45N2HRTFPZE","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"J45N2HRTFPZESS4R","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"J45N2HRT","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:00e366b1185e3fe0a7fa7f4fe79f2e3c6ca7d469e070f07413f002f85055effa","target":"graph","created_at":"2026-05-18T01:49:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Tensor hypercontraction is a method that allows the representation of a high-rank tensor as a product of lower-rank tensors. In this paper, we show how tensor hypercontraction can be applied to both the electron repulsion integral (ERI) tensor and the two-particle excitation amplitudes used in the parametric reduced density matrix (pRDM) algorithm. Because only O(r) auxiliary functions are needed in both of these approximations, our overall algorithm can be shown to scale as O(r4), where r is the number of single-particle basis functions. We apply our algorithm to several small molecules, hydr","authors_text":"Christine Schwerdtfeger, David Mazziotti, Helen van Aggelen, Neil Shenvi, Weitao Yang, Yang Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-05-21T12:49:28Z","title":"The tensor hypercontracted parametric reduced density matrix algorithm: coupled-cluster accuracy with O(r^4) scaling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4802","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:53e26ef9dfe001e30c76131dbdb11a2ae29625c0fa6e23d3d30e37c94636ed73","target":"record","created_at":"2026-05-18T01:49:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"55c69fa71971f072c5025c1db4ededeaac96185ac05244c514019bd80799c348","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-05-21T12:49:28Z","title_canon_sha256":"d4350e9f3cddc190bcef9d89040185b415f1b35535eca96799872f1119369ec8"},"schema_version":"1.0","source":{"id":"1305.4802","kind":"arxiv","version":1}},"canonical_sha256":"4f3add1e332bf2494b91979aafbb4e291596fd9d2a3888e97d9a10756d0e16fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f3add1e332bf2494b91979aafbb4e291596fd9d2a3888e97d9a10756d0e16fe","first_computed_at":"2026-05-18T01:49:48.417131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:48.417131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q8S94t0z/sSnMeOyZVPG1OAUfoaEq5R4i29KoeCx3n0YqljQqqf4tP5sK/t3NfhQLNwG1aW+yH4n6ui18oaJAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:48.417644Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4802","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53e26ef9dfe001e30c76131dbdb11a2ae29625c0fa6e23d3d30e37c94636ed73","sha256:00e366b1185e3fe0a7fa7f4fe79f2e3c6ca7d469e070f07413f002f85055effa"],"state_sha256":"fdb84b05bbc87a22f9152cd90639e641f17b61e37b681f41962e87b67f51b266"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dMYPbl86UAFTtr79SYdB8nwOexaWMzAqBY1FRrb/1EOc6uxEbaHVzpP/AdYXkWqDSRqMGEiaKeV/16B2lfYoBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T00:55:25.598285Z","bundle_sha256":"c97538762f49e1083798e33d7a68e16d6c2267b062a0bdbdf267de1427be50c4"}}